Abdelmalek Boumali

The Generalized Dirac Oscillator in Doubly Special Relativity: A Complexified Morse Interaction

Abstract We study the one-dimensional generalized Dirac oscillator with a complex Morse interaction, f(x) = D − qe−αx, in the Magueijo–Smolin (MS) and Amelino-Camelia (AC) realizations of doubly special relativity (DSR). The spatial problem factorizes into supersymmetric partners...

Analytical and Numerical Bound-State Analysis of One-Dimensional Time-like Vector Potentials in the Feshbach–Villars Formalism

We analyse one-dimensional bound states of spin-zero particles coupled to external time-like vector potentials within the Feshbach–Villars representation. The study is organised around a practical criterion of physical admissibility that distinguishes genuine bound states from sc...